ESL Arithmetic Practice Test for the ACCUPLACER® test 1 — Questions and Answers
Question 1: 23.4 x 2.53 =
- 5.840
- 56.302
- 58.402
- 59.202 (Correct answer)
Correct answer: 59.202
To multiply decimals, first multiply the numbers as if they were whole numbers: 234 x 253 = 59202. Next, count the total number of decimal places in the original numbers. 23.4 has one decimal place, and 2.53 has two decimal places, for a total of three. Therefore, place the decimal point three places from the right in the product, resulting in 59.202.
Question 2: Which of the following is the greatest?
- 0.62
- 0.65
- 0.67 (Correct answer)
- 0.668
Correct answer: 0.67
To compare decimals, align them by their decimal points and compare the digits from left to right. For 0.62, 0.65, 0.67, and 0.668, all start with '0.6'. Comparing the next digit, we have 2, 5, 7, and 6. Since 7 is the largest of these digits, 0.67 is the greatest number among the choices.
Question 3: What percentage of 128 is 96?
- 75% (Correct answer)
- 80%
- 65%
- 70%
Correct answer: 75%
To find what percentage of 128 is 96, divide the part (96) by the whole (128) and then multiply by 100%. The fraction 96/128 simplifies to 3/4 by dividing both numerator and denominator by their greatest common divisor, 32. Converting 3/4 to a decimal gives 0.75, and multiplying by 100% yields 75%. Thus, 96 is 75% of 128.
Question 4: 1.4 + 0.06 + 0.522 =
- 1.542
- 2.522
- 2.144
- 1.982 (Correct answer)
Correct answer: 1.982
To add decimals, align the numbers vertically by their decimal points. It's helpful to add trailing zeros so all numbers have the same number of decimal places: 1.400 + 0.060 + 0.522. Then, add each column from right to left, carrying over when necessary. The sum of these numbers is 1.982.
Question 5: One angle of a triangle measures 30 degrees. Of the remaining two angles, the larger one is twice as large as the smaller one. What is the measure of the smaller angle?
- 40 degrees
- 50 degrees (Correct answer)
- 30 degrees
- 60 degrees
Correct answer: 50 degrees
The sum of angles in any triangle is 180 degrees. Given one angle is 30 degrees, the sum of the remaining two angles is 180 - 30 = 150 degrees. Let the smaller of the two remaining angles be 'x'. The larger angle is twice as large, so it is '2x'. Setting up the equation x + 2x = 150, we get 3x = 150, which means x = 50 degrees. Therefore, the smaller angle measures 50 degrees.
Question 6: 7 <sup>2<\/sup>⁄<sub>3<\/sub> + 4 <sup>1<\/sup>⁄<sub>4<\/sub>
- 11 <sup>5<\/sup>⁄<sub>12<\/sub>
- 11<sup>11<\/sup>⁄<sub>12<\/sub> (Correct answer)
- 11 <sup>3<\/sup>⁄<sub>7<\/sub>
- 12 <sup>1<\/sup>⁄<sub>8<\/sub>
Correct answer: 11<sup>11<\/sup>⁄<sub>12<\/sub>
To add mixed numbers, first add the whole number parts: 7 + 4 = 11. Next, add the fractional parts: 2/3 + 1/4. Find a common denominator for the fractions, which is 12. Convert 2/3 to 8/12 and 1/4 to 3/12. Adding these gives 8/12 + 3/12 = 11/12. Combine the whole number and fraction to get the final answer: 11 11/12.
Question 7: <sup>6<\/sup>⁄<sub>7<\/sub> ÷ <sup>1<\/sup>⁄<sub>8<\/sub> =
- 5 <sup>4<\/sup>⁄<sub>7<\/sub>
- 6 <sup>6<\/sup>⁄<sub>7<\/sub> (Correct answer)
- <sup>6<\/sup>⁄<sub>56<\/sub>
- <sup>44<\/sup>⁄<sub>7<\/sub>
Correct answer: 6 <sup>6<\/sup>⁄<sub>7<\/sub>
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/8 is 8/1. So, the problem becomes 6/7 * 8/1. Multiply the numerators (6 * 8 = 48) and the denominators (7 * 1 = 7) to get 48/7. Converting this improper fraction to a mixed number, 48 divided by 7 is 6 with a remainder of 6, resulting in 6 6/7.
Question 8: <sup>16<\/sup>⁄<sub>64<\/sub> is equivalent to which of the following fractions?
- <sup>3<\/sup>⁄<sub>8<\/sub>
- <sup>1<\/sup>⁄<sub>2<\/sub>
- <sup>1<\/sup>⁄<sub>4<\/sub> (Correct answer)
- <sup>1<\/sup>⁄<sub>3<\/sub>
Correct answer: <sup>1<\/sup>⁄<sub>4<\/sub>
To find an equivalent fraction, simplify the given fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). For 16/64, the GCD of 16 and 64 is 16. Dividing 16 by 16 gives 1, and dividing 64 by 16 gives 4. Therefore, 16/64 is equivalent to 1/4.
Question 9: 25.6 x 10.42 is closest to which of the following?
- 200
- 260 (Correct answer)
- 2650
- 2600
Correct answer: 260
To estimate the product of 25.6 x 10.42, round each number to a convenient whole number. 25.6 can be rounded to 26, and 10.42 can be rounded to 10. Multiplying these rounded numbers gives 26 x 10 = 260. This estimate is closest to the actual product, making 260 the correct answer.
Question 10: 6 <sup>3<\/sup>⁄<sub>4<\/sub> - 3 <sup>1<\/sup>⁄<sub>3<\/sub> =
- 4 <sup>2<\/sup>⁄<sub>6<\/sub>
- 3 <sup>7<\/sup>⁄<sub>12<\/sub>
- 3 <sup>5<\/sup>⁄<sub>12<\/sub> (Correct answer)
- 3 <sup>5<\/sup>⁄<sub>6<\/sub>
Correct answer: 3 <sup>5<\/sup>⁄<sub>12<\/sub>
To subtract mixed numbers, first subtract the whole number parts: 6 - 3 = 3. Next, subtract the fractional parts: 3/4 - 1/3. Find a common denominator for the fractions, which is 12. Convert 3/4 to 9/12 and 1/3 to 4/12. Subtracting these gives 9/12 - 4/12 = 5/12. Combine the whole number and fraction to get the final answer: 3 5/12.
Question 11: <sup>5<\/sup>⁄<sub>8<\/sub> =
- 0.625 (Correct answer)
- 0.66
- 0.375
- 0.5
Correct answer: 0.625
To convert a fraction to a decimal, divide the numerator by the denominator. For 5/8, divide 5 by 8. Performing the division (5 ÷ 8) yields 0.625. This is the decimal equivalent of the fraction 5/8.
Question 12: A bag contains 30 colored marbles that have either a rough or smooth texture. Exactly <sup>1<\/sup>⁄<sub>2<\/sub> of the marbles are blue, <sup>1<\/sup>⁄<sub>3<\/sub> are green, and the rest are yellow. Exactly <sup>2<\/sup>⁄<sub>3<\/sub> of the marbles are smooth. If half of the rough marbles are green, then what fraction of the total bag is rough green marbles?
- <sup>1<\/sup>⁄<sub>5<\/sub>
- <sup>1<\/sup>⁄<sub>6<\/sub> (Correct answer)
- <sup>2<\/sup>⁄<sub>3<\/sub>
- <sup>2<\/sup>⁄<sub>5<\/sub>
Correct answer: <sup>1<\/sup>⁄<sub>6<\/sub>
First, calculate the total number of rough marbles: 2/3 of the 30 marbles are smooth, meaning 1/3 are rough. So, (1/3) * 30 = 10 rough marbles. If half of these rough marbles are green, then there are (1/2) * 10 = 5 rough green marbles. To find the fraction of the total bag that is rough green marbles, divide the number of rough green marbles by the total number of marbles: 5/30, which simplifies to 1/6.
Question 13: <sup>1<\/sup>⁄<sub>3<\/sub> of 250 is approximately ____.
- 70
- 50
- 85 (Correct answer)
- 100
Correct answer: 85
To find 1/3 of 250, divide 250 by 3. The calculation 250 ÷ 3 results in approximately 83.33. Among the given options, 85 is the closest approximation to this value. Therefore, 1/3 of 250 is approximately 85.
Question 14: A pizza pie has eight slices. Some of the slices have extra toppings of either pepperoni, mushroom, or both, while some slices have no extra toppings. The customer specified that <sup>1<\/sup>⁄<sub>2<\/sub> of the pie must contain pepperoni, <sup>3<\/sup>⁄<sub>8<\/sub> of the pie must contain mushrooms, and <sup>1<\/sup>⁄<sub>4<\/sub> of the pie must contain both pepperoni and mushrooms. What fraction of the pie does not contain any extra topping?
- <sup>1<\/sup>⁄<sub>2<\/sub>
- <sup>3<\/sup>⁄<sub>8<\/sub> (Correct answer)
- <sup>1<\/sup>⁄<sub>3<\/sub>
- <sup>2<\/sup>⁄<sub>8<\/sub>
Correct answer: <sup>3<\/sup>⁄<sub>8<\/sub>
A pizza has 8 slices. Pepperoni (P) is 1/2 of 8 = 4 slices. Mushrooms (M) is 3/8 of 8 = 3 slices. Both (P and M) is 1/4 of 8 = 2 slices. To find slices with any topping, use the formula: P + M - (P and M) = 4 + 3 - 2 = 5 slices. The number of slices with no extra topping is the total slices minus slices with any topping: 8 - 5 = 3 slices. As a fraction of the pie, this is 3/8.
Question 15: <sup>6<\/sup>⁄<sub>7<\/sub> + <sup>5<\/sup>⁄<sub>4<\/sub> =
- <sup>46<\/sup>⁄<sub>7<\/sub>
- 2 <sup>1<\/sup>⁄<sub>2<\/sub>
- <sup>59<\/sup>⁄<sub>28<\/sub> (Correct answer)
- <sup>21<\/sup>⁄<sub>28<\/sub>
Correct answer: <sup>59<\/sup>⁄<sub>28<\/sub>
To add fractions with different denominators, first find a common denominator. For 6/7 and 5/4, the least common multiple of 7 and 4 is 28. Convert the fractions: 6/7 becomes 24/28 (multiply numerator and denominator by 4), and 5/4 becomes 35/28 (multiply numerator and denominator by 7). Now, add the new fractions: 24/28 + 35/28 = 59/28. This is an improper fraction and can be left as such or converted to a mixed number (2 3/28).
Question 16: <sup>3<\/sup>⁄<sub>5<\/sub> ÷ <sup>2<\/sup>⁄<sub>4<\/sub> =
- 1 <sup>1<\/sup>⁄<sub>5<\/sub> (Correct answer)
- <sup>12<\/sup>⁄<sub>5<\/sub>
- <sup>6<\/sup>⁄<sub>10<\/sub>
- <sup>11<\/sup>⁄<sub>10<\/sub>
Correct answer: 1 <sup>1<\/sup>⁄<sub>5<\/sub>
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/4 is 4/2. So, the problem becomes 3/5 * 4/2. Multiply the numerators (3 * 4 = 12) and the denominators (5 * 2 = 10) to get 12/10. This improper fraction simplifies to 6/5, which can be expressed as the mixed number 1 1/5.
Question 17: <sup>3<\/sup>⁄<sub>4<\/sub> is equivalent to which of the following?
- <sup>18<\/sup>⁄<sub>24<\/sub> (Correct answer)
- <sup>6<\/sup>⁄<sub>9<\/sub>
- 0.7
- <sup>8<\/sup>⁄<sub>10<\/sub>
Correct answer: <sup>18<\/sup>⁄<sub>24<\/sub>
To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the same non-zero number. For 3/4, let's check option A) 18/24. If you divide both 18 and 24 by their greatest common divisor, 6, you get 18 ÷ 6 = 3 and 24 ÷ 6 = 4. Thus, 18/24 simplifies to 3/4, making it equivalent.
Question 18: <sup>9<\/sup>⁄<sub>5<\/sub> - <sup>2<\/sup>⁄<sub>3<\/sub> =
- <sup>11<\/sup>⁄<sub>5<\/sub>
- <sup>7<\/sup>⁄<sub>2<\/sub>
- <sup>17<\/sup>⁄<sub>15<\/sub> (Correct answer)
- <sup>12<\/sup>⁄<sub>15<\/sub>
Correct answer: <sup>17<\/sup>⁄<sub>15<\/sub>
To subtract fractions with different denominators, first find a common denominator. For 9/5 and 2/3, the least common multiple of 5 and 3 is 15. Convert the fractions: 9/5 becomes 27/15 (multiply numerator and denominator by 3), and 2/3 becomes 10/15 (multiply numerator and denominator by 5). Now, subtract the new fractions: 27/15 - 10/15 = 17/15. This is an improper fraction and can be left as such or converted to a mixed number (1 2/15).
Question 19: If 2 <sup>1<\/sup>⁄<sub>4<\/sub> + x = 5 <sup>1<\/sup>⁄<sub>8<\/sub>, then which of the following is true of x?
- It is less than 1.
- It is greater than 2 and less than 3. (Correct answer)
- It is greater than 1 and less than 2.
- It is greater than 5.
Correct answer: It is greater than 2 and less than 3.
To solve for x, first convert the mixed numbers to improper fractions: 2 1/4 = 9/4 and 5 1/8 = 41/8. The equation becomes 9/4 + x = 41/8. To isolate x, subtract 9/4 from both sides: x = 41/8 - 9/4. Find a common denominator for the subtraction, which is 8, so 9/4 becomes 18/8. Then, x = 41/8 - 18/8 = 23/8. Converting 23/8 back to a mixed number gives 2 7/8, which is greater than 2 and less than 3.
Question 20: Sally buys 400 feet of fencing to put up a fence around her backyard. If she ends up using <sup>7<\/sup>⁄<sub>8<\/sub> of it, how much fencing will she have left over?
- 75 feet
- 100 feet
- 25 feet
- 50 feet (Correct answer)
Correct answer: 50 feet
Sally buys 400 feet of fencing and uses 7/8 of it. This means 1 - 7/8 = 1/8 of the fencing is left over. To find the amount left over, calculate 1/8 of 400 feet. (1/8) * 400 = 400 / 8 = 50 feet. Therefore, Sally will have 50 feet of fencing left over.
Question 21: <sup>6<\/sup>⁄<sub>15<\/sub> * 2 <sup>2<\/sup>⁄<sub>3<\/sub> =
- <sup>4<\/sup>⁄<sub>5<\/sub>
- <sup>10<\/sup>⁄<sub>15<\/sub>
- 2 <sup>1<\/sup>⁄<sub>5<\/sub>
- <sup>16<\/sup>⁄<sub>15<\/sub> (Correct answer)
Correct answer: <sup>16<\/sup>⁄<sub>15<\/sub>
First, convert the mixed number 2 2/3 to an improper fraction: (2 * 3 + 2) / 3 = 8/3. Now, multiply the fractions: 6/15 * 8/3. Multiply the numerators (6 * 8 = 48) and the denominators (15 * 3 = 45) to get 48/45. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, 3, resulting in 16/15.
Question 22: 22.46 + 2.005 + 0.7 =
- 22.025
- 25.165 (Correct answer)
- 26.145
- 261.65
Correct answer: 25.165
To add decimals, align the numbers vertically by their decimal points. It's helpful to add trailing zeros so all numbers have the same number of decimal places: 22.460 + 2.005 + 0.700. Then, add each column from right to left, carrying over when necessary. The sum of these numbers is 25.165.
Question 23: 0.3060 + 2.954 + 0.2 =
- 3.46 (Correct answer)
- 3.04
- 2.996
- 5.46
Correct answer: 3.46
To add decimals, align the numbers vertically by their decimal points. It's helpful to add trailing zeros so all numbers have the same number of decimal places: 0.3060 + 2.9540 + 0.2000. Then, add each column from right to left, carrying over when necessary. The sum of these numbers is 3.4600, or simply 3.46.
Question 24: 5.3 – 2.96 =
- 3.42
- 1.6
- 0.246
- 2.34 (Correct answer)
Correct answer: 2.34
To subtract decimals, align the numbers vertically by their decimal points. It's helpful to add a trailing zero to 5.3 so it has the same number of decimal places as 2.96: 5.30 - 2.96. Then, subtract each column from right to left, borrowing from the left when necessary. The difference is 2.34.
Question 25: 7.9 x 0.35 =
- 2.765 (Correct answer)
- 0.345
- 0.2765
- 3.45
Correct answer: 2.765
To multiply decimals, first multiply the numbers as if they were whole numbers: 79 multiplied by 35 equals 2765. Next, count the total number of decimal places in the original numbers (7.9 has one, 0.35 has two, for a total of three). Finally, place the decimal point in the product so there are three decimal places, resulting in 2.765.
Question 26: Which of the following is closest to 75% of 190?
- 1200
- 140 (Correct answer)
- 1400
- 120
Correct answer: 140
To find 75% of 190, you can convert 75% to a decimal (0.75) or a fraction (3/4). Multiplying 0.75 by 190 gives 142.5. Among the given options, 140 is the closest value to 142.5.
Question 27: Which percentage is equivalent to the fraction <sup>5<\/sup>⁄<sub>8<\/sub>?
- 62.50% (Correct answer)
- 72.50%
- 67.50%
- 65.50%
Correct answer: 62.50%
To convert a fraction to a percentage, divide the numerator by the denominator and then multiply the result by 100. For the fraction 5/8, dividing 5 by 8 yields 0.625. Multiplying 0.625 by 100 gives 62.5%, making 62.50% the equivalent percentage.
Question 28: 36÷1.5=
- 28
- 2.4
- 2.8
- 24 (Correct answer)
Correct answer: 24
To divide 36 by 1.5, it's helpful to eliminate the decimal in the divisor. Multiply both the dividend (36) and the divisor (1.5) by 10 to get 360 ÷ 15. Performing this division, 360 divided by 15 equals 24.
Question 29: 0.65 x 0.33 =
- 4.465
- 0.2145 (Correct answer)
- 0.4465
- 2.145
Correct answer: 0.2145
To multiply decimals, first multiply the numbers without considering the decimal points: 65 multiplied by 33 equals 2145. Then, count the total number of decimal places in the original numbers (0.65 has two, and 0.33 has two, for a total of four). Place the decimal point in the product so there are four decimal places, which gives 0.2145.
Question 30: 10 – 2.267 =
- 77.33
- 8.233
- 7.733 (Correct answer)
- 6.334
Correct answer: 7.733
To subtract decimals, align the numbers by their decimal points. You can rewrite 10 as 10.000 to match the number of decimal places in 2.267. Subtracting 2.267 from 10.000 yields 7.733.
Question 31: The answer to 45.4 x 7.7 is closest to which of the following?
- 365 (Correct answer)
- 3 650
- 3 850
- 385
Correct answer: 365
To estimate the product of 45.4 and 7.7, round the numbers to the nearest whole numbers: 45.4 rounds to 45, and 7.7 rounds to 8. Multiplying 45 by 8 gives 360. Among the choices, 365 is the closest value to this estimate.
Question 32: What is 35% of 26.2?
- 9.17 (Correct answer)
- 7.17
- 6.57
- 8.57
Correct answer: 9.17
To find 35% of 26.2, convert the percentage to a decimal by dividing by 100, which gives 0.35. Then, multiply 0.35 by 26.2. The product of 0.35 and 26.2 is 9.17.
Question 33: Which of the following lists the given numbers in order from least to greatest?
- 0.058 < 0.405 < 0.42 < 0.48 (Correct answer)
- 0.058 < 0.42 < 0.48 < 0.405
- 0.48 < 0.42 <0.405 < 0.058
- 0.405 < 0.058 < 0.48 < 0.42
Correct answer: 0.058 < 0.405 < 0.42 < 0.48
To order decimals from least to greatest, compare the digits from left to right, starting with the tenths place. 0.058 is the smallest because it has a 0 in the tenths place. For 0.405, 0.42, and 0.48, all have 4 in the tenths place; comparing the hundredths place (0, 2, 8 respectively) shows the correct order is 0.405 < 0.42 < 0.48. Thus, the complete order is 0.058 < 0.405 < 0.42 < 0.48.
Question 34: Which of the following correctly lists the numbers in order from greatest to least?
- 7\/8 > 0.605 > 65% > 0.5
- 0.605 > 7\/8 > 0.5 > 65%
- 7\/8 > 65% > 0.605 > 0.5 (Correct answer)
- 7\/8 > 0.605 > 0.5 > 65%
Correct answer: 7\/8 > 65% > 0.605 > 0.5
To compare numbers in different formats, convert them all to decimals. 7/8 is 0.875, 65% is 0.65, 0.605 is already a decimal, and 0.5 is 0.500. Arranging these from greatest to least gives 0.875 (7/8), 0.65 (65%), 0.605, and 0.5 (0.5). Therefore, the correct order is 7/8 > 65% > 0.605 > 0.5.
Question 35: Joan bought a new rectangular carpet for her living room. The carpet is 8.5 feet long and 10 feet wide, the area of the room is 20% larger than that of the carpet. What is the area of the room?
- 104 square feet
- 98 square feet
- 100 square feet
- 102 square feet (Correct answer)
Correct answer: 102 square feet
First, calculate the area of the carpet: 8.5 feet * 10 feet = 85 square feet. The area of the room is 20% larger than the carpet's area. To find this, calculate 20% of 85 (0.20 * 85 = 17) and add it to the carpet's area: 85 + 17 = 102 square feet. Alternatively, multiply 85 by 1.20 (representing 100% + 20%), which also gives 102 square feet.
Question 36: John orders a box of assorted pens for his office. The pens are either red, blue, black, or green. In the box, <sup>1<\/sup>⁄<sub>8<\/sub> of the pens are red and <sup>1<\/sup>⁄<sub>4<\/sub> are green. Of the remaining pens (those that are not red or green), <sup>1<\/sup>⁄<sub>5<\/sub> are black and the rest are blue. What fraction of the box has blue pens?
- <sup>3<\/sup>⁄<sub>4<\/sub>
- <sup>1<\/sup>⁄<sub>6<\/sub>
- <sup>3<\/sup>⁄<sub>8<\/sub>
- <sup>1<\/sup>⁄<sub>2<\/sub> (Correct answer)
Correct answer: <sup>1<\/sup>⁄<sub>2<\/sub>
First, find the total fraction of red and green pens: 1/8 + 1/4 = 1/8 + 2/8 = 3/8. This means 1 - 3/8 = 5/8 of the pens remain. Of these remaining pens, 1/5 are black, so (1/5) * (5/8) = 1/8 are black. The rest are blue, which means 4/5 of the remaining pens are blue: (4/5) * (5/8) = 4/8 = 1/2. Therefore, 1/2 of the box has blue pens.
Question 37: A swimming pool is being filled at a rate of 530 gallons per hour. How many gallons of water will be in the pool after 2 hours and 30 minutes?
- 1,060 gallons
- 1,280 gallons
- 1,540 gallons
- 1,325 gallons (Correct answer)
Correct answer: 1,325 gallons
First, convert 2 hours and 30 minutes into hours: 30 minutes is 0.5 hours, so the total time is 2.5 hours. Then, multiply the filling rate by the total time to find the total gallons. 530 gallons/hour * 2.5 hours = 1325 gallons. Thus, 1,325 gallons of water will be in the pool.
Question 38: Jamie’s library has 240 books, some of which are in English and some of which are in Spanish. If 45 percent of the books are written in Spanish, then how many books are written in English?
- 124
- 132 (Correct answer)
- 144
- 108
Correct answer: 132
If 45 percent of the books are in Spanish, then the remaining percentage, 100% - 45% = 55%, are in English. To find the number of English books, calculate 55% of the total 240 books. This is 0.55 * 240, which equals 132 books.
Question 39: The largest angle in a triangle is 90 degrees. If one of the other angles is greater than or equal to 60 degrees, what is the largest possible measure of the third angle?
- 35 degrees
- 25 degrees
- 40 degrees
- 30 degrees (Correct answer)
Correct answer: 30 degrees
The sum of angles in any triangle is 180 degrees. Given one angle is 90 degrees, the sum of the other two angles must be 180 - 90 = 90 degrees. If one of the other angles is greater than or equal to 60 degrees, to find the largest possible measure of the third angle, we must make the second angle as small as possible, which is 60 degrees. Therefore, the third angle would be 90 - 60 = 30 degrees.
Question 40: A large fish tank is 6 feet wide, 2 feet long, and 5 feet tall. If the tank is currently filled with 20 cubic feet of water, then what fraction of the tank is empty?
- <sup>1<\/sup>⁄<sub>3<\/sub>
- <sup>1<\/sup>⁄<sub>6<\/sub>
- <sup>1<\/sup>⁄<sub>2<\/sub>
- <sup>2<\/sup>⁄<sub>3<\/sub> (Correct answer)
Correct answer: <sup>2<\/sup>⁄<sub>3<\/sub>
First, calculate the total volume of the fish tank: length * width * height = 2 feet * 6 feet * 5 feet = 60 cubic feet. The tank is filled with 20 cubic feet of water, so the empty volume is 60 - 20 = 40 cubic feet. To find the fraction of the tank that is empty, divide the empty volume by the total volume: 40/60, which simplifies to 2/3.
Question 41: John hit 50 golf balls at the driving range. If 40% of them went farther than 150 yards, then how many balls went over 150 yards?
- 20 (Correct answer)
- 25
- 30
- 35
Correct answer: 20
To find out how many balls went over 150 yards, calculate 40% of the total 50 golf balls. Convert 40% to a decimal (0.40) and multiply it by 50. So, 0.40 * 50 = 20 balls.
Question 42: An animal rescue facility currently has 45 animals available for adoption. If <sup>1<\/sup>⁄<sub>3<\/sub> of them are cats and <sup>1<\/sup>⁄<sub>9<\/sub> of them are dogs, how many animals are neither cats nor dogs?
- 20
- 15
- 10
- 25 (Correct answer)
Correct answer: 25
First, calculate the number of cats: (1/3) * 45 = 15 cats. Next, calculate the number of dogs: (1/9) * 45 = 5 dogs. The total number of cats and dogs is 15 + 5 = 20 animals. To find how many animals are neither cats nor dogs, subtract this sum from the total number of animals: 45 - 20 = 25 animals.
Question 43: Elizabeth wants to buy material for new curtains in her living room. She needs six curtains, each of which is is 4 feet long and 2 feet wide. If the material she wants costs $14.00 per square foot, how much will she have to spend on curtains?
- $672 (Correct answer)
- $654
- $546
- $788
Correct answer: $672
First, calculate the area of one curtain: 4 feet * 2 feet = 8 square feet. Since Elizabeth needs six curtains, the total material area required is 6 * 8 square feet = 48 square feet. Finally, multiply the total area by the cost per square foot: 48 square feet * $14.00/square foot = $672.00.
Question 44: John is repainting the outside of his shed. The front and back of the shed are rectangles, 10 feet long and 8 feet high. The sides of the shed are also rectangular, but they are 12 feet long and 8 feet high. If one bucket of paint can cover exactly 50 square feet of the shed, how many buckets of paint should he have to buy to ensure the entire shed is painted and to have the smallest amount left over?
- 7 buckets
- 6 buckets
- 8 buckets (Correct answer)
- 9 buckets
Correct answer: 8 buckets
First, calculate the total surface area to be painted. The front and back are 10x8 feet, so 2 * (10*8) = 160 sq ft. The two sides are 12x8 feet, so 2 * (12*8) = 192 sq ft. The total area is 160 + 192 = 352 square feet. Since one bucket covers 50 square feet, divide the total area by the coverage per bucket: 352 / 50 = 7.04 buckets. To ensure the entire shed is painted, John must buy 8 buckets, as he cannot buy a fraction of a bucket.
Question 45: 75 is 60% of what number?
- 115
- 145
- 135
- 125 (Correct answer)
Correct answer: 125
This problem can be set up as an equation: 75 = 0.60 * x, where x is the unknown number. To solve for x, divide 75 by 0.60. Performing the division, 75 / 0.60 equals 125.
Question 46: Linda has a bag that is filled <sup>2<\/sup>⁄<sub>3<\/sub> of the way with candy. If she takes out <sup>1<\/sup>⁄<sub>4<\/sub> of the candy and gives it to her brother, what fraction of the bag will be filled with candy?
- <sup>1<\/sup>⁄<sub>4<\/sub>
- <sup>1<\/sup>⁄<sub>2<\/sub> (Correct answer)
- <sup>5<\/sup>⁄<sub>6<\/sub>
- <sup>1<\/sup>⁄<sub>3<\/sub>
Correct answer: <sup>1<\/sup>⁄<sub>2<\/sub>
Linda's bag is 2/3 full. She takes out 1/4 *of the candy*, meaning 1/4 of the 2/3. So, the amount taken out is (1/4) * (2/3) = 2/12 = 1/6 of the bag. To find the remaining candy, subtract the amount taken out from the initial amount: 2/3 - 1/6. Convert 2/3 to 4/6, then 4/6 - 1/6 = 3/6, which simplifies to 1/2. Thus, 1/2 of the bag will be filled with candy.
Question 47: At a movie theater, each ticket regularly costs $8.50. If student tickets are sold at a 30% discount, how much does a student ticket cost?
- $4.85
- $6.75
- $7.25
- $5.95 (Correct answer)
Correct answer: $5.95
A 30% discount means the student pays 100% - 30% = 70% of the regular price. To find the student ticket cost, multiply the regular price ($8.50) by 0.70 (which is 70% as a decimal). So, $8.50 * 0.70 = $5.95.
Question 48: A pair of pants is on sale for $48.00. If the pants are 25% off, what was the original price?
- $60.00
- $54.00
- $64.00 (Correct answer)
- $56.00
Correct answer: $64.00
If the pants are 25% off, the sale price of $48.00 represents 100% - 25% = 75% of the original price. To find the original price, divide the sale price by 0.75 (which is 75% as a decimal). So, $48.00 / 0.75 = $64.00.
Question 49: On Saturday, Amanda worked for 4 hours and earned $34.00. On Sunday, she worked for 6 hours and earned $54.00. What was her average hourly wage over the weekend?
- $10.40 per hour
- $9.60 per hour
- $8.80 per hour (Correct answer)
- $7.60 per hour
Correct answer: $8.80 per hour
To find the average hourly wage, first calculate the total hours worked: 4 hours (Saturday) + 6 hours (Sunday) = 10 hours. Next, calculate the total money earned: $34.00 (Saturday) + $54.00 (Sunday) = $88.00. Finally, divide the total money earned by the total hours worked: $88.00 / 10 hours = $8.80 per hour.
Question 50: Sam has five science tests throughout a semester. He receives the following grades on his first four science tests: 84, 78, 72, 96. If his final average is an 86, what was his score on the final test?
- 94
- 92
- 100 (Correct answer)
- 95
Correct answer: 100
To find the score on the final test, first calculate the total points needed for an average of 86 across five tests: 86 * 5 = 430. Next, sum the scores from the first four tests: 84 + 78 + 72 + 96 = 330. Finally, subtract the sum of the known scores from the total needed to find the score on the fifth test: 430 - 330 = 100.
ESL Arithmetic Practice Test for the ACCUPLACER® test 1
23.4 x 2.53 =